A curved Brunn-Minkowski inequality in the discrete cube
Seminar Room 2, Newton Institute Gatehouse
(Joint work with C.Villani)
We try (and fail) to implement the displacement convexity property of Lott-Sturm-Villani to the discrete hypercube. Yet along the way we get new, unexpected results of a combinatorial and probabilistic nature, including a curved Brunn--Minkowski inequality on the discrete hypercube.